Some relationships for a fluid with tensor conductivity in a moving magnetic field

K. I. Kim - V. T. Chemeris

Abstract
The character of Hall phenomena is analyzed on the basis of the equation of motion of the electron component and the solution of a boundary problem, obtained earlier, for the distribution of the electromagnetic field in a fluid with anisotropic electrical conductivity flowing in a moving magnetic field through a channel of finite width with rectangular cross section or through a coaxial channel. The relative role of currents of null and of double frequency due to a difference in the distribution of currents from the ordinary ones occurring in the absence of anisotropic conductivity is indicated by numerical estimates. In a plane channel with perfectly conducting lateral walls currents of double frequency can be absent. In this case the current of null frequency flowing along the channel attains a limit magnitude, and currents of the fundamental frequency have a magnitude less than that in the case of isotropic conductivity. In a coaxial channel the Hall current is absent, but a longitudinal Hall emf acts along the channel.